I'm not a full-timer - but I do get a lot of enjoyment with taking a hobby on the road.
Woodcarving is pretty much a natural - practically zero space commitment when you compare it with other hobbies - and if you carve in found wood or driftwood then you're away to the races.
What I do most of is scrolling - haven't taken the scrollsaw on the road yet - but have thought it was very doable - set it up to be clamped down on a picnic table and away you go - I should point out that most of my scrolling projects are "time projects" - as in many, many sessions at the saw for one project - so the real travelling requirement are the saw, the blades and the project piece - framing and finishing at home.
Jay